Determinants of zeroth order operators

Leonid Friedlander, Victor Guillemin

Research output: Contribution to journalArticlepeer-review

4 Scopus citations


For compact Riemannian manifolds all of whose geodesics are closed (aka Zoll manifolds) one can define the determinant of a zeroth order pseudodifferential operator by mimicking Szego’s definition of this determinant for the operator: multiplication by a bounded function, on the Hilbert space of square-integrable functions on the circle. In this paper we prove that the non-local contribution to this determinant can be computed in terms of a much simpler “zeta-regularized” determinant.

Original languageEnglish (US)
Pages (from-to)1-12
Number of pages12
JournalJournal of Differential Geometry
Issue number1
StatePublished - 2008

ASJC Scopus subject areas

  • Analysis
  • Algebra and Number Theory
  • Geometry and Topology


Dive into the research topics of 'Determinants of zeroth order operators'. Together they form a unique fingerprint.

Cite this